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Mathematics - Differential Equations - Separating the Variab

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Separating Variables -

The problem is:

dP/dt = P - P^2

The given answer is:

P = ce^t/1+ce^t

How do I get to the final answer?

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Solution Preview

dP/dt = P - P^2

dP/(P - P^2) = dt

dP/{P(1 - P)} = dt

By partial fraction decomposition, we get ...

Solution Summary

The expert examines mathematics differential equations using separating variables. A Complete, Neat and Step-by-step Solution is provided.